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Finding the Third Proportional to 5,700,424 and 12,540,921

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Solution

The third proportional to 5,700,424 and 12,540,921 is: 27,590,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700,424 : 12,540,921 = 12,540,921 : x
  2. Step 2: Convert to fraction form
    5,700,424/12,540,921 = 12,540,921/x
  3. Step 3: Cross multiply
    5,700,424x = 12,540,921 × 12,540,921
  4. Step 4: Simplify right side
    5,700,424x = 157,274,699,528,241
  5. Step 5: Solve for x
    x = 157,274,699,528,241/5,700,424
  6. Step 6: Final answer
    x = 27,590,000.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.